Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters Calculator

✖Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.ⓘ Reduced Pressure [P_r]			+10% -10%
✖Critical Pressure for Peng Robinson Model is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure for Peng Robinson Model [P,_c]			+10% -10%
✖Wohl parameter a is an empirical parameter characteristic to equation obtained from Wohl model of real gas.ⓘ Wohl Parameter a [a]			+10% -10%
✖Reduced Molar Volume for P-R Method of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.ⓘ Reduced Molar Volume for P-R Method [V'_r]			+10% -10%
✖Critical Molar Volume for Peng Robinson Model is the volume occupied by gas at critical temperature and pressure per mole.ⓘ Critical Molar Volume for Peng Robinson Model [V'_c]			+10% -10%
✖Wohl parameter b is an empirical parameter characteristic to equation obtained from Wohl model of real gas.ⓘ Wohl Parameter b [b]			+10% -10%
✖Wohl parameter c is an empirical parameter characteristic to equation obtained from Wohl model of real gas.ⓘ Wohl Parameter c [c]			+10% -10%

✖Temperature of Real Gas is the degree or intensity of heat present in a substance or object.ⓘ Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters [T_rg]

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Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters

Formula

`"T"_{"rg"} = "[R]"/((("P"_{"r"}*"P,"_{"c"})+("a"/(("V'"_{"r"}*"V'"_{"c"})*(("V'"_{"r"}*"V'"_{"c"})-"b")))-("c"/((("V'"_{"r"}*"V'"_{"c"})^3))))*(("V'"_{"r"}*"V'"_{"c"})-"b"))`

Example

`"0.001168K"="[R]"/((("0.0024"*"4.6E^6Pa")+("266"/(("246.78"*"0.0025m³/mol")*(("246.78"*"0.0025m³/mol")-"0.00625")))-("21"/((("246.78"*"0.0025m³/mol")^3))))*(("246.78"*"0.0025m³/mol")-"0.00625"))`

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Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature of Real Gas = [R]/(((Reduced Pressure*Critical Pressure for Peng Robinson Model)+(Wohl Parameter a/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))-(Wohl Parameter c/(((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^3))))*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b))
T_rg = [R]/(((P_r*P,_c)+(a/((V'_r*V'_c)*((V'_r*V'_c)-b)))-(c/(((V'_r*V'_c)^3))))*((V'_r*V'_c)-b))
This formula uses 1 Constants, 8 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Temperature of Real Gas - (Measured in Kelvin) - Temperature of Real Gas is the degree or intensity of heat present in a substance or object.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
Critical Pressure for Peng Robinson Model - (Measured in Pascal) - Critical Pressure for Peng Robinson Model is the minimum pressure required to liquify a substance at the critical temperature.
Wohl Parameter a - Wohl parameter a is an empirical parameter characteristic to equation obtained from Wohl model of real gas.
Reduced Molar Volume for P-R Method - Reduced Molar Volume for P-R Method of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.
Critical Molar Volume for Peng Robinson Model - (Measured in Cubic Meter per Mole) - Critical Molar Volume for Peng Robinson Model is the volume occupied by gas at critical temperature and pressure per mole.
Wohl Parameter b - Wohl parameter b is an empirical parameter characteristic to equation obtained from Wohl model of real gas.
Wohl Parameter c - Wohl parameter c is an empirical parameter characteristic to equation obtained from Wohl model of real gas.

STEP 1: Convert Input(s) to Base Unit

Reduced Pressure: 0.0024 --> No Conversion Required
Critical Pressure for Peng Robinson Model: 4600000 Pascal --> 4600000 Pascal No Conversion Required
Wohl Parameter a: 266 --> No Conversion Required
Reduced Molar Volume for P-R Method: 246.78 --> No Conversion Required
Critical Molar Volume for Peng Robinson Model: 0.0025 Cubic Meter per Mole --> 0.0025 Cubic Meter per Mole No Conversion Required
Wohl Parameter b: 0.00625 --> No Conversion Required
Wohl Parameter c: 21 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_rg = [R]/(((P_r*P,_c)+(a/((V'_r*V'_c)*((V'_r*V'_c)-b)))-(c/(((V'_r*V'_c)^3))))*((V'_r*V'_c)-b)) --> [R]/(((0.0024*4600000)+(266/((246.78*0.0025)*((246.78*0.0025)-0.00625)))-(21/(((246.78*0.0025)^3))))*((246.78*0.0025)-0.00625))

Evaluating ... ...

T_rg = 0.00116798009246738

STEP 3: Convert Result to Output's Unit

0.00116798009246738 Kelvin --> No Conversion Required

FINAL ANSWER

0.00116798009246738 ≈ 0.001168 Kelvin <-- Temperature of Real Gas

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Real Gas » Wohl Model of Real Gas » Temperature and Pressure of Real Gas using Wohl Equation » Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters

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< 4 Temperature and Pressure of Real Gas using Wohl Equation Calculators

Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters

Go Pressure of Gas = (([R]*(Reduced Temperature*Critical Temperature of Real Gas))/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b))-(Wohl Parameter a/((Reduced Temperature*Critical Temperature of Real Gas)*(Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))+(Wohl Parameter c/(((Reduced Temperature*Critical Temperature of Real Gas)^2)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^3)))

Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters

Go Temperature of Real Gas = [R]/(((Reduced Pressure*Critical Pressure for Peng Robinson Model)+(Wohl Parameter a/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))-(Wohl Parameter c/(((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^3))))*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b))

Pressure of Real Gas using Wohl Equation

Go Pressure of Gas = (([R]*Temperature of Real Gas)/(Molar Volume of Real Gas-Wohl Parameter b))-(Wohl Parameter a/(Temperature of Real Gas*Molar Volume of Real Gas*(Molar Volume of Real Gas-Wohl Parameter b)))+(Wohl Parameter c/((Temperature of Real Gas^2)*(Molar Volume of Real Gas^3)))

Temperature of Real Gas using Wohl Equation

Go Temperature of Real Gas = [R]/((Pressure of Gas+(Wohl Parameter a/(Molar Volume of Real Gas*(Molar Volume of Real Gas-Wohl Parameter b)))-(Wohl Parameter c/((Molar Volume of Real Gas^3))))*(Molar Volume of Real Gas-Wohl Parameter b))

Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters Formula

What are Real Gases?

Real gases are non ideal gases whose molecules occupy space and have interactions; consequently, they do not adhere to the ideal gas law. To understand the behavior of real gases, the following must be taken into account:
- compressibility effects;
- variable specific heat capacity;
- van der Waals forces;
- non-equilibrium thermodynamic effects;
- issues with molecular dissociation and elementary reactions with variable composition.

How to Calculate Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters?

Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters calculator uses Temperature of Real Gas = [R]/(((Reduced Pressure*Critical Pressure for Peng Robinson Model)+(Wohl Parameter a/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))-(Wohl Parameter c/(((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^3))))*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)) to calculate the Temperature of Real Gas, The Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as the degree or intensity of heat present in the volume of real gas. Temperature of Real Gas is denoted by T_rg symbol.

How to calculate Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters using this online calculator? To use this online calculator for Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters, enter Reduced Pressure (P_r), Critical Pressure for Peng Robinson Model (P,_c), Wohl Parameter a (a), Reduced Molar Volume for P-R Method (V'_r), Critical Molar Volume for Peng Robinson Model (V'_c), Wohl Parameter b (b) & Wohl Parameter c (c) and hit the calculate button. Here is how the Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters calculation can be explained with given input values -> 0.001168 = [R]/(((0.0024*4600000)+(266/((246.78*0.0025)*((246.78*0.0025)-0.00625)))-(21/(((246.78*0.0025)^3))))*((246.78*0.0025)-0.00625)).

FAQ

What is Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters?

The Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as the degree or intensity of heat present in the volume of real gas and is represented as T_rg = [R]/(((P_r*P,_c)+(a/((V'_r*V'_c)*((V'_r*V'_c)-b)))-(c/(((V'_r*V'_c)^3))))*((V'_r*V'_c)-b)) or Temperature of Real Gas = [R]/(((Reduced Pressure*Critical Pressure for Peng Robinson Model)+(Wohl Parameter a/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))-(Wohl Parameter c/(((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^3))))*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)). Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless, Critical Pressure for Peng Robinson Model is the minimum pressure required to liquify a substance at the critical temperature, Wohl parameter a is an empirical parameter characteristic to equation obtained from Wohl model of real gas, Reduced Molar Volume for P-R Method of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole, Critical Molar Volume for Peng Robinson Model is the volume occupied by gas at critical temperature and pressure per mole, Wohl parameter b is an empirical parameter characteristic to equation obtained from Wohl model of real gas & Wohl parameter c is an empirical parameter characteristic to equation obtained from Wohl model of real gas.

How to calculate Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters?

The Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as the degree or intensity of heat present in the volume of real gas is calculated using Temperature of Real Gas = [R]/(((Reduced Pressure*Critical Pressure for Peng Robinson Model)+(Wohl Parameter a/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))-(Wohl Parameter c/(((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^3))))*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)). To calculate Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters, you need Reduced Pressure (P_r), Critical Pressure for Peng Robinson Model (P,_c), Wohl Parameter a (a), Reduced Molar Volume for P-R Method (V'_r), Critical Molar Volume for Peng Robinson Model (V'_c), Wohl Parameter b (b) & Wohl Parameter c (c). With our tool, you need to enter the respective value for Reduced Pressure, Critical Pressure for Peng Robinson Model, Wohl Parameter a, Reduced Molar Volume for P-R Method, Critical Molar Volume for Peng Robinson Model, Wohl Parameter b & Wohl Parameter c and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Temperature of Real Gas?

In this formula, Temperature of Real Gas uses Reduced Pressure, Critical Pressure for Peng Robinson Model, Wohl Parameter a, Reduced Molar Volume for P-R Method, Critical Molar Volume for Peng Robinson Model, Wohl Parameter b & Wohl Parameter c. We can use 1 other way(s) to calculate the same, which is/are as follows -

Temperature of Real Gas = [R]/((Pressure of Gas+(Wohl Parameter a/(Molar Volume of Real Gas*(Molar Volume of Real Gas-Wohl Parameter b)))-(Wohl Parameter c/((Molar Volume of Real Gas^3))))*(Molar Volume of Real Gas-Wohl Parameter b))

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